What is the value of lim u-->0 ((sin u)/u)? Does it matter whether u is measured in degrees or radians? Explain.

Q: Find the limit of the trigonometric function.

A:

Q: Find the limit of the trigonometric function.

A: We have to find the limit of the trigonometric function: limx→7 sec π x6 This is determinate form of…

Q: Find the limit of the trigonometric function.

A:

Q: Evaluate: lim (sec z sin z)ot z

A: Note: We are entitles to solve only the first question, unless specified To evaluate :limx→0(sec x…

Q: find the limit or explain why it does not exist

A:

Q: Which theorem shall be used to find the lim sin 60 ? 0-0 20

A: We need to find the value of limθ→0sin6θ2θ

Q: Plot the function and use the graph to estimate the value of the limit.

A: The formula of special limit is given by: limθ→0 sin θθ=1

Q: Can the Quotient Law be applied to evaluate lim sin x -? Explain. x+0 X

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Q: Find the limits. Are the functions continuous at the point being approached?

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Q: DO NOT include spaces in between characters. Give the range of y =tan- x+÷. 6

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Q: Evaluate using the Squeeze Theorem.

A: We know that,

Q: By using definition, proof that cot x = - csc² x. dx

A: Since you have posted multiple question at a time, we can solve only one question at a time, so…

Q: Evaluate using Theorem as necessary.

A: The given is the symbol of limits, hence the definition of limits helps to find the required. A…

Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: Find the limit of the trigonometric function. lim 9 sin(x)

A:

Q: evaluate using substitution.

A: We substitute x=4

Q: Use the Squeeze Theorem to evaluate lim sin(ln x) csch(cot x). x→0+

A: Given:                                                                fx:=sinlnxcschcotx. To do:…

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let…

Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

A:

Q: lim, 20 sin5x.cot2x = ?

A:

Q: Use a difference identity to prove than tan(0+ t) = tan(6).

A:

Q: Find the limit of the trigonometric function .

A: On directly substituting the limit the indeterminate form 00 will be obtained, so first we need to…

Q: Find the limit of the trigonometric function.

A: Given: limx→56sinx we evaluating given limit, we substitute x=56 in given expression

Q: Find the limits in Exercis

A: We can find the limit of an expression by applying the limit point to the variable in the expression…

Q: lim sec lim sec, = sec π.Χ. TEX JUI nin

A: given graph of f(x)=secπx4

Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule…

Q: Find the limit of the trigonometric function. lim sin X 15 18

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Q: sin x lim bx = ? Use L'Hospital's Rule

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Q: Find the limit of the trigonometric function.

A: Given:limx→0 sec2x

Q: Evaluate lim tan z sin z

A:

Q: sin(6t) lim +0 sin(11t)

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: E. Use L'Hopitals's rule to find lim (2 – r)tan(r=/2).

A: Topic = limits

Q: Prove that lim sin( nx) + n dx= In 2 . (n+) Explain your answer carefully

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Q: Plot the function and use the graph to estimate the value. lim sin 5θ/sin 2θθ→0

A: Using a graphing calculator we graph the function

Q: Find the limit of the trigonometric function.

A:

Q: Find the limit of the trigonometric function.

A: Given: limx→7  secx6

Q: Evaluate using substitution.

A: We have to calculate the following limit L:

Q: Find the limit of the trigonometric function.

A: Let the given limit be y - y = limx→0 cosx tanxxy = limx→0 cosx×sinxcosxxy = limx→0 sinxxy = 1

Q: Write the definitions of the hyperbolic functions , sinh  x  ,cosh x , tanhx

A: Solution:- Definition of the hyperbolic functions, a) sinh x b) cosh x c) tanh x

Q: Use the addition formula for the tangent tan x + tan h tan(x + h) = 1+ tan x tan h to compute (tan…

A:

Q: Lim 1 Sin?x

A: Calculate : limx→01sin2x-1x2

Q: What is the value of limθ→0 ((sin θ)/θ)? Does it matter whether u is measured in degrees or radians?…

A: Given information: limθ→0sinθθ

Q: Why is it not possible to evaluate by direct substitution?

A: Given: limx→0sin xx To check: Why it not possible to evaluate by direct substitution.

Q: Sinx +x 3) lim tan x

A: Given limit is : limx→0sinx+xtanx Use property of limit  limx→0sinxx=1limx→0tanxx=1

Q: Find the limits. Are the functions continuous at the point being approached?

A:

Q: Use the Squeeze Theorem to evaluate: lim x→0+ sin(ln x) csch(cot x).

A: Solution is here

Q: Find Lim o'sin to Sin 02

A: We use the properties of limit and L'Hopital's Rule to find the limit in the given question.

Q: Evaluate lim (sin x)" エ→号一 tan z

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Q: Use the Squeeze Theorem to show that lim x? cos (Hint: |cos ()| : = 0

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.